Please help Mark brainliest

STANDARD FORM:

(x − h)² + (y − k)² = r², where (x, y) is any point on the circle, (h, k) is the center, and r is the radius.

We are given r, therefore, we must substitute the given point and the center into the standard form.

So, The equation of the circle is:

(x − 3)² + (y + 2)² = (5)²(x – 3)² + (y + 2)² = 25.

NOTE: See picture attached.

This question of yours is not well arranged
In an aptitude test if am given a question like this I wouldn't even solve it because the answer is in the question...
How???

"what is the common difference " then you asked" is it Arithmetic or geometric"

I would have chosen arithmetic because common difference is only typical to arithmetic progression... But this question is a typical Geometric sequence "we use Common ratio"

Common ratio = T₂/T₁
Common difference = T₂-T₁

T₂ = 12 and T₁ =-6

∴Common ratio = 12/-6 = -2
Meaning each number in the sequence in creases by a factor of -2

Multiply T₁ by -2 you'll have 12[T₂]
Multiply T₂ by -2 you'll have -24[T₃] and the sequence continues

Hope this helped?